45865900 has 72 divisors (see below), whose sum is σ = 103541984. Its totient is φ = 17625600.

The previous prime is 45865889. The next prime is 45865901. The reversal of 45865900 is 956854.

It is a self number, because there is not a number n which added to its sum of digits gives 45865900.

It is not an unprimeable number, because it can be changed into a prime (45865901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445249 + ... + 445351.

Almost surely, 2^45865900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45865900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51770992).

45865900 is an abundant number, since it is smaller than the sum of its proper divisors (57676084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45865900 is a wasteful number, since it uses less digits than its factorization.

45865900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 45865900 is about 6772.4367844964. The cubic root of 45865900 is about 357.9562694314.

The spelling of 45865900 in words is "forty-five million, eight hundred sixty-five thousand, nine hundred".